TSTP Solution File: GEO297+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO297+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:10:55 EDT 2023
% Result : Theorem 14.09s 2.69s
% Output : CNFRefutation 14.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f913)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
? [X15] :
( rpoint(X15)
& vd1201 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f33,axiom,
? [X17] :
( rpoint(X17)
& vd1199 = X17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f34,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f37,axiom,
~ rS(vd1186,vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(298)') ).
fof(f51,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(296))') ).
fof(f160,plain,
? [X0] :
( rpoint(X0)
& vd1201 = X0 ),
inference(rectify,[],[f31]) ).
fof(f162,plain,
? [X0] :
( rpoint(X0)
& vd1199 = X0 ),
inference(rectify,[],[f33]) ).
fof(f488,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
=> ( rpoint(sK1)
& vd1178 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f489,plain,
( ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
=> ( rpoint(sK2)
& vd1179 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f490,plain,
( ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
=> ( rpoint(sK3)
& vd1180 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f491,plain,
( ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
=> ( rpoint(sK4)
& vd1185 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f492,plain,
( ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
=> ( rpoint(sK5)
& vd1186 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f493,plain,
( ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
=> ( rpoint(sK6)
& vd1187 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f495,plain,
( ? [X0] :
( rpoint(X0)
& vd1201 = X0 )
=> ( rpoint(sK7)
& vd1201 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f496,plain,
( rpoint(sK7)
& vd1201 = sK7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f160,f495]) ).
fof(f499,plain,
( ? [X0] :
( rpoint(X0)
& vd1199 = X0 )
=> ( rpoint(sK9)
& vd1199 = sK9 ) ),
introduced(choice_axiom,[]) ).
fof(f500,plain,
( rpoint(sK9)
& vd1199 = sK9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f162,f499]) ).
fof(f658,plain,
vd1201 = sK7,
inference(cnf_transformation,[],[f496]) ).
fof(f659,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f496]) ).
fof(f662,plain,
vd1199 = sK9,
inference(cnf_transformation,[],[f500]) ).
fof(f663,plain,
rpoint(sK9),
inference(cnf_transformation,[],[f500]) ).
fof(f664,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f34]) ).
fof(f669,plain,
~ rS(vd1186,vd1201,vd1232),
inference(cnf_transformation,[],[f37]) ).
fof(f38,axiom,
ron(vd1200,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(274)), 0)') ).
fof(f948,plain,
~ rS(sK5,sK7,vd1232),
inference(definition_unfolding,[],[f669,f635,f658]) ).
fof(f670,plain,
ron(vd1200,vd1197),
inference(cnf_transformation,[],[f38]) ).
fof(f686,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f51]) ).
fof(f958,plain,
~ ron(sK7,vd1232),
inference(definition_unfolding,[],[f686,f658]) ).
cnf(c_50,plain,
vangle(sK6,sK9,sK7) = vd684,
inference(cnf_transformation,[],[f912]) ).
cnf(c_51,plain,
ron(sK6,vd1232),
inference(cnf_transformation,[],[f913]) ).
cnf(c_54,plain,
ron(sK9,vd1232),
inference(cnf_transformation,[],[f916]) ).
cnf(c_55,plain,
rline(vd1232),
inference(cnf_transformation,[],[f616]) ).
cnf(c_87,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f659]) ).
cnf(c_90,plain,
rpoint(sK9),
inference(cnf_transformation,[],[f663]) ).
cnf(c_112,plain,
~ ron(sK7,vd1232),
inference(cnf_transformation,[],[f958]) ).
fof(f11,axiom,
vd1185 = vd1199,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof(f679,plain,
vf(vd1185,vd1186) = vf(vd1199,vd1200),
inference(cnf_transformation,[],[f47]) ).
fof(f12,axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(f635,plain,
vd1186 = sK5,
inference(cnf_transformation,[],[f494]) ).
fof(f20,axiom,
( ? [X14] :
( rpoint(X14)
& vd1178 = X14 )
& ? [X13] :
( rpoint(X13)
& vd1179 = X13 )
& ? [X12] :
( rpoint(X12)
& vd1180 = X12 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X11] :
( rpoint(X11)
& vd1185 = X11 )
& ? [X10] :
( rpoint(X10)
& vd1186 = X10 )
& ? [X9] :
( rpoint(X9)
& vd1187 = X9 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ~ ? [X8] :
( rline(X8)
& ron(vd1185,X8)
& ron(vd1186,X8)
& ron(vd1187,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f909,plain,
vd1185 = sK9,
inference(definition_unfolding,[],[f618,f662]) ).
fof(f39,axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof(f949,plain,
ron(sK5,vd1197),
inference(definition_unfolding,[],[f670,f910]) ).
fof(f40,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(f950,plain,
ron(sK5,vd1197),
inference(definition_unfolding,[],[f671,f635]) ).
fof(f41,axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f951,plain,
ron(sK9,vd1197),
inference(definition_unfolding,[],[f672,f909]) ).
fof(f42,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof(f673,plain,
rline(vd1197),
inference(cnf_transformation,[],[f41]) ).
fof(f44,axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof(f953,plain,
ron(sK7,vd1234),
inference(definition_unfolding,[],[f675,f658]) ).
fof(f45,axiom,
rline(vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(294, 0)') ).
fof(f954,plain,
ron(sK9,vd1234),
inference(definition_unfolding,[],[f676,f909]) ).
fof(f46,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(274)), 0)') ).
fof(f677,plain,
rline(vd1234),
inference(cnf_transformation,[],[f45]) ).
fof(f47,axiom,
vf(vd1185,vd1186) = vf(vd1199,vd1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(273, 1215, 0)') ).
fof(f955,plain,
ron(sK9,vd1197),
inference(definition_unfolding,[],[f678,f662]) ).
fof(f154,axiom,
! [X722,X723,X724,X725,X726,X727,X728,X729] :
( ( ? [X737] :
( rpoint(X737)
& X722 = X737 )
& ? [X736] :
( rpoint(X736)
& X723 = X736 )
& ? [X735] :
( rpoint(X735)
& X724 = X735 )
& ? [X734] :
( rpoint(X734)
& X725 = X734 )
& ? [X733] :
( rpoint(X733)
& X726 = X733 )
& ? [X732] :
( rline(X732)
& X727 = X732 )
& ? [X731] :
( rline(X731)
& X728 = X731 )
& ? [X730] :
( rline(X730)
& X729 = X730 )
& ron(X722,X727)
& ron(X723,X727)
& ron(X723,X728)
& ron(X724,X728)
& ron(X724,X729)
& ron(X725,X729)
& X723 != X724
& rS(X722,X725,X728)
& rless(vplus(vangle(X722,X723,X724),vangle(X723,X724,X725)),vplus(vperp,vperp)) )
=> ( rintersect(X727,X728)
& ( ( ron(X726,X727)
& ron(X726,X728) )
=> rS(X726,X722,X728) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof(f1649,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1648]) ).
fof(f159,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ~ ? [X6] :
( rline(X6)
& ron(vd1185,X6)
& ron(vd1186,X6)
& ron(vd1187,X6) ) ),
inference(rectify,[],[f20]) ).
fof(f265,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rpoint(X8)
& X0 = X8 )
& ? [X9] :
( rpoint(X9)
& X1 = X9 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X12] :
( rpoint(X12)
& X4 = X12 )
& ? [X13] :
( rline(X13)
& X5 = X13 )
& ? [X14] :
( rline(X14)
& X6 = X14 )
& ? [X15] :
( rline(X15)
& X7 = X15 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X1,X6)
& ron(X2,X6)
& ron(X2,X7)
& ron(X3,X7)
& X1 != X2
& rS(X0,X3,X6)
& rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) )
=> ( rintersect(X5,X6)
& ( ( ron(X4,X5)
& ron(X4,X6) )
=> rS(X4,X0,X6) ) ) ),
inference(rectify,[],[f154]) ).
fof(f281,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(ennf_transformation,[],[f159]) ).
fof(f478,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(ennf_transformation,[],[f265]) ).
fof(f479,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(flattening,[],[f478]) ).
fof(f494,plain,
( rpoint(sK1)
& vd1178 = sK1
& rpoint(sK2)
& vd1179 = sK2
& rpoint(sK3)
& vd1180 = sK3
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK4)
& vd1185 = sK4
& rpoint(sK5)
& vd1186 = sK5
& rpoint(sK6)
& vd1187 = sK6
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f281,f493,f492,f491,f490,f489,f488]) ).
fof(f618,plain,
vd1185 = vd1199,
inference(cnf_transformation,[],[f11]) ).
fof(f619,plain,
vd1200 = vd1186,
inference(cnf_transformation,[],[f12]) ).
fof(f633,plain,
vd1187 = sK6,
inference(cnf_transformation,[],[f494]) ).
fof(f634,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f494]) ).
fof(f671,plain,
ron(vd1186,vd1197),
inference(cnf_transformation,[],[f39]) ).
fof(f672,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f40]) ).
fof(f674,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[],[f42]) ).
fof(f43,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).
fof(f952,plain,
rS(sK6,sK7,vd1197),
inference(definition_unfolding,[],[f674,f633,f658]) ).
fof(f675,plain,
ron(vd1201,vd1234),
inference(cnf_transformation,[],[f43]) ).
fof(f676,plain,
ron(vd1185,vd1234),
inference(cnf_transformation,[],[f44]) ).
fof(f678,plain,
ron(vd1199,vd1197),
inference(cnf_transformation,[],[f46]) ).
fof(f905,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f479]) ).
fof(f906,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f479]) ).
fof(f910,plain,
vd1200 = sK5,
inference(definition_unfolding,[],[f619,f635]) ).
fof(f48,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(272, 0)') ).
fof(f956,plain,
vf(sK9,sK5) = vf(sK9,sK5),
inference(definition_unfolding,[],[f679,f909,f635,f662,f910]) ).
fof(f680,plain,
ron(vd1199,vd1197),
inference(cnf_transformation,[],[f48]) ).
fof(f946,plain,
~ ron(sK6,vd1197),
inference(definition_unfolding,[],[f664,f633]) ).
fof(f957,plain,
ron(sK9,vd1197),
inference(definition_unfolding,[],[f680,f662]) ).
fof(f1642,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f906]) ).
fof(f1643,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1642]) ).
fof(f1644,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1643]) ).
fof(f1645,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1644]) ).
fof(f1646,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1645]) ).
fof(f1647,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1646]) ).
fof(f1648,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1647]) ).
fof(f1650,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f905]) ).
fof(f1651,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1650]) ).
fof(f1652,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1651]) ).
fof(f1653,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1652]) ).
fof(f1654,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X5)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1653]) ).
fof(f1655,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X13)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1654]) ).
fof(f1656,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1655]) ).
fof(f155,axiom,
! [X738,X739] :
( ( ? [X741] :
( rpoint(X741)
& X738 = X741 )
& ? [X740] :
( rpoint(X740)
& X739 = X740 ) )
=> v0 = vg(X738,X738,X739) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).
fof(f1657,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1656]) ).
fof(f266,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> v0 = vg(X0,X0,X1) ),
inference(rectify,[],[f155]) ).
fof(f480,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f266]) ).
fof(f481,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f480]) ).
fof(f64,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f907,plain,
! [X2,X3,X0,X1] :
( v0 = vg(X0,X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f481]) ).
fof(f702,plain,
v0 = vd684,
inference(cnf_transformation,[],[f64]) ).
cnf(c_72,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f634]) ).
cnf(c_91,plain,
~ ron(sK6,vd1197),
inference(cnf_transformation,[],[f946]) ).
cnf(c_106,plain,
ron(sK9,vd1197),
inference(cnf_transformation,[],[f957]) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rline(X7)
& X6 = X7
& X0 != X2
& X0 != X4
& ron(X0,X6)
& ron(X2,X6) )
=> ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f972,plain,
! [X3,X1,X7,X5] :
( ~ rR(X1,X3,X5)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f971]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(ennf_transformation,[],[f13]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f273]) ).
fof(f486,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(nnf_transformation,[],[f274]) ).
fof(f487,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f486]) ).
fof(f621,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| v0 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f487]) ).
fof(f622,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f487]) ).
fof(f918,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != vd684
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(definition_unfolding,[],[f622,f702]) ).
fof(f919,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != vd684
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(definition_unfolding,[],[f621,f702]) ).
fof(f965,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vd684 != vangle(X2,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f918]) ).
fof(f966,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vd684 != vangle(X3,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f965]) ).
fof(f967,plain,
! [X3,X1,X6,X7,X5] :
( ron(X5,X6)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f966]) ).
fof(f968,plain,
! [X3,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f967]) ).
fof(f969,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| vd684 != vangle(X2,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f919]) ).
fof(f970,plain,
! [X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X3,X4)
| vd684 != vangle(X3,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f969]) ).
fof(f971,plain,
! [X3,X1,X6,X7,X5] :
( ~ rR(X1,X3,X5)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f970]) ).
cnf(c_57,plain,
( vangle(X0,X1,X2) != vd684
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ rline(X3)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| ron(X2,X3) ),
inference(cnf_transformation,[],[f968]) ).
cnf(c_23835,plain,
( ~ ron(sK6,X0)
| ~ ron(sK9,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK9)
| ~ rpoint(sK7)
| sK6 = sK9
| sK9 = sK7
| ron(sK7,X0) ),
inference(superposition,[status(thm)],[c_50,c_57]) ).
cnf(c_23840,plain,
( ~ ron(sK6,X0)
| ~ ron(sK9,X0)
| ~ rline(X0)
| sK6 = sK9
| sK9 = sK7
| ron(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23835,c_87,c_90,c_72]) ).
cnf(c_63687,plain,
( ~ ron(sK9,vd1232)
| ~ rline(vd1232)
| sK6 = sK9
| sK9 = sK7
| ron(sK7,vd1232) ),
inference(superposition,[status(thm)],[c_51,c_23840]) ).
cnf(c_63691,plain,
( sK6 = sK9
| sK9 = sK7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_63687,c_112,c_55,c_54]) ).
cnf(c_65544,plain,
( ~ ron(sK9,vd1197)
| sK9 = sK7 ),
inference(superposition,[status(thm)],[c_63691,c_91]) ).
cnf(c_65552,plain,
sK9 = sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_65544,c_106]) ).
cnf(c_65680,plain,
~ ron(sK9,vd1232),
inference(demodulation,[status(thm)],[c_112,c_65552]) ).
cnf(c_65687,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_65680,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO297+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 22:05:50 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.09/2.69 % SZS status Started for theBenchmark.p
% 14.09/2.69 % SZS status Theorem for theBenchmark.p
% 14.09/2.69
% 14.09/2.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 14.09/2.69
% 14.09/2.69 ------ iProver source info
% 14.09/2.69
% 14.09/2.69 git: date: 2023-05-31 18:12:56 +0000
% 14.09/2.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 14.09/2.69 git: non_committed_changes: false
% 14.09/2.69 git: last_make_outside_of_git: false
% 14.09/2.69
% 14.09/2.69 ------ Parsing...
% 14.09/2.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 14.09/2.69
% 14.09/2.69 ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 14.09/2.69
% 14.09/2.69 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.09/2.69
% 14.09/2.69 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 14.09/2.69 ------ Proving...
% 14.09/2.69 ------ Problem Properties
% 14.09/2.69
% 14.09/2.69
% 14.09/2.69 clauses 277
% 14.09/2.69 conjectures 0
% 14.09/2.69 EPR 82
% 14.09/2.69 Horn 196
% 14.09/2.69 unary 40
% 14.09/2.69 binary 42
% 14.09/2.69 lits 1523
% 14.09/2.69 lits eq 192
% 14.09/2.69 fd_pure 0
% 14.09/2.69 fd_pseudo 0
% 14.09/2.69 fd_cond 0
% 14.09/2.69 fd_pseudo_cond 50
% 14.09/2.69 AC symbols 0
% 14.09/2.69
% 14.09/2.69 ------ Schedule dynamic 5 is on
% 14.09/2.69
% 14.09/2.69 ------ no conjectures: strip conj schedule
% 14.09/2.69
% 14.09/2.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 14.09/2.69
% 14.09/2.69
% 14.09/2.69 ------
% 14.09/2.69 Current options:
% 14.09/2.69 ------
% 14.09/2.69
% 14.09/2.69
% 14.09/2.69
% 14.09/2.69
% 14.09/2.69 ------ Proving...
% 14.09/2.69
% 14.09/2.69
% 14.09/2.69 % SZS status Theorem for theBenchmark.p
% 14.09/2.69
% 14.09/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.09/2.69
% 14.09/2.70
%------------------------------------------------------------------------------